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Finding the Fourth Proportional to 14.34, 19.77 and 11.61

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Solution

The fourth proportional to 14.34, 19.77 and 11.61 is: 16.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.34 : 19.77 = 11.61 : x
  2. Step 2: Convert to fraction form
    14.34/19.77 = 11.61/x
  3. Step 3: Cross multiply
    14.34x = 19.77 × 11.61
  4. Step 4: Simplify right side
    14.34x = 229.53
  5. Step 5: Solve for x
    x = 229.53/14.34
  6. Step 6: Final answer
    x = 16.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.